jenna works for the city transportation department. she made a table to show the number of people that can be transported on a different number of buses. complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y.​

Answer:

10x + 2

Step-by-step explanation:

lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2

h→0

Answer:

Step-by-step explanation: there are 1760 yards in one mile, so therefor there are  1760

Answer:

The answer is "Initial value".

Step-by-step explanation:

The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.

Answer:

initial value

Step-by-step explanation:

Answer:

10 cats were at the shelter on wednesday

Step-by-step explanation:

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

1. Proportional to Mikel's tip.

2. Not proportional to Mikel's tip.

3. Proportional to Mikel's tip.

What is a proportion?

A proportion is an equation that states that two ratios are equal. In other words, it is a statement that says two fractions are equivalent. The most common way to write a proportion is in the form of "a/b = c/d".

We are told that Mikel gave a $1.32 tip for an order that cost $8.80. We are asked to determine whether or not each given tip is proportional to Mikel's tip.  

Let us compare our given tip and order cost proportions with Mikel given tip and order cost proportion.

1) 1.32/8.80 = 2.22/14.80

   0.15 = 0.15

We can see that our given proportion is equal to Mikel's proportion, therefore, the tip given in the first option is proportional to Mikel's tip.

2) 1.32/8.80 = 1.86/10.50

   0.15 ≠0.177

We can see that tip given in the second option is greater than Mikel's tip, therefore, it is not proportional to Mikel's tip.

3) 1.32/8.80 = 0.78/5.20

   0.15 = 0.15

We can see that our both proportions are equal, therefore, a tip given in the third option is proportional to Mikel's tip.

Hence,

1. Proportional to Mikel's tip.

2. Not proportional to Mikel's tip.

3. Proportional to Mikel's tip.

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Answer:

Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

Answer:

y= -3/1  plus 5

Step-by-step explanation:

correct me if im wrong u can just write -3 instead of -3/1

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

8/15 or 8 over 15 should be the answer

Answer:

Hunter and Maggie can both be correct because when the average rate of change is zero, the sum of all possible positive slopes and negative slopes on the interval will be zero. The sum of the possible positive slopes cancels out the sum of the possible negative slopes.

In this case the graph would be a parabola with the equation ax^2+bx+c where a is negative

According to hunter

In the interval [-2,2]

According to Maggie

They can be correct

Because

If sum of all positive and negative slopes is zero then average rate of change is zeRos

So there is only one possibility

Then they both are correct

Step-by-step explanation:

7! = 5040 ways

Answer:

B = 1320

\(A= \dfrac54B\)

Step-by-step explanation:

Let A = number of students at Branch A

Let B = number of students at Branch B

If the number of students taking classes at Branch A is 1/4 more than Branch B, then:

      \(A=1 \dfrac14B\)

\(\implies A= \dfrac54B\)

If Branch A has 1,650 students, then substitute A = 1650 and solve for B:

\(\implies 1650= \dfrac54B\)

\(\implies 1650 \times 4= 5B\)

\(\implies 6600 =5B\)

\(\implies B=\dfrac{6600}{5}\)

\(\implies B=1320\)

Answer: 1320

Step-by-step explanation:

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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Answer:

5 meters : 1 gallon

fuel efficiency of Car is 7 meters per gallons

Step-by-step explanation:

Given Tanya car goes 45 meters on 7 gallons.

In terms of ratio  of distance traveled and fuel consumed

45 meters : 7 gallons

since both 45 and 7 are multiple of 7 dividing both side by 7

45/7 meters : 7/7 gallons

5 meters : 1 gallon

Thus, fuel efficiency of Car is 7 meters per gallons.

Answer:

24

Step-by-step explanation:

Answer:

h = 24 cm

Step-by-step explanation:

Area = 1/2 b * h

b = 5 cm

Area = 60 cm^2

60 = 1/2 * 5 * h                   Multiply both sides by 2

60*2 = 2*1/2 *  5 * h            

120 = 5 h                           Divide by 5

24 = h

Answer:

Sample mean

Sample variance

Sample proportion

Step-by-step explanation:

a) A yellow marble : 1:11

b) A blue marble 3:1

c) A white marble : 1 :5

d) Not drawing a white marble to 5/7.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Yellow = 2

White = 4

Blue marbles= 18

Total = 24

a) The odds in favor of drawing the

P(yellow) = 2/24; P(not yellow)= 22/24;

Odds in favor of yellow = [2/24]/[22/24]

                                        = 1:11

b) A blue marble

P(blue) = 18/24; P(not blue)=6/24;

Odds in favor of blue = [18/24]/[6/24]= 3:1

c) A white marble

= [4/24] / [20/24]

= 1 :5

d) Not drawing a white marble

= 20/24

= 5/7

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Answer:

x = 11.8

Step-by-step explanation:

Side a = 11.78983

Side b = 3

Side c = 10

Angle ∠A = 120° = 2.0944 rad = 2/3π

Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad

Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad

The answer for x is 11.8

Solution:

Note that:

Use the formula to find the base of the triangle.

The length of the base is 51/10 yards.

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\(\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}\)

\( \boxed{\mathfrak{area = \frac{1}{2} \times base \times height}}\)

We are already given the values, Let's plug them and solve for x i.e base

\( \bf\: 6 \frac{3}{8} = \frac{1}{ \cancel2} \times x \times \cancel2 \frac{1}{2} \)

\( \bf \: 6\frac{3}{8} = x \times \frac{1}{2} \)

Convert the mixed number to an improper fraction

\( \bf \: \frac{51}{8} = \frac{1}{2} x\)

Multiply both sides of the equation by 2

\( \boxed{ \tt \: x = \frac{51}{4} }\)

➪ Therefore, The base of the triangle is 51/4 yards...~

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

this is you're answer please thanks me

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

b. Use an AD/AS diagram to show how a decrease in the inflation target can keep inflation and short-run output from starting to rise in 2021. Explain your diagram and what it reveals about monetary policy.

Answer:

938583

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

Volume of rectangular prism = length x width x height

6 x 9 x 5= 270

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking

Answer: The slope is -2/3.

Step-by-step explanation:

Well you would have to put the equation in slope- intercept form which is y = mx + b where the mx represents the slope and the b represents your y-intercept on the graph. So, first you need to multiply the -2/3 to everything in the parentheses which would equal y - 2 = -2/3x - 2/3. Then, you need to get the y by itself on the left side of the equation by adding 2 on both sides because what you do to one side you have to do to the other when cancelling out numbers. So when you add 2 to both sides youre left with y = -2/3x + 4/3. Now that your equation is in slope-intercept form, you can identify the slope. The slope of the equation is the "mx" part of y = mx + b from before so that means the slope is -2/3.

I hope this helps! :)

Answer:

answer in picture

Step-by-step explanation: